Math
Course: Algebra II
Grade 10
MATH 401 Algebra II
1/2 credit
5 times per week (1st Semester)
Taught in English
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This is a required class for all 10 grade students in the Mexican and/or U.S. Diploma program. Major content areas in the
class include properties of real numbers, solving equations in one variable, solving inequalities and absolute value
problems, graphs of linear equations, slope, solving systems of equations and linear inequalities, properties of polynomials
and operations involving polynomials, and factoring polynomials, word and application problems are emphasized
throughout the course.
Textbook:
Prerequisite:
Bellman, Allan E., Algebra 2. Prentice/Hall: Upper Saddle River, NJ
(2007 Edition)
MATH 300
MAT 402 Algebra II
1/2 credit
5 times per week (2nd Semester)
Taught in English
This is a required class for all 10th grade students in the Mexican and/or U.S. diploma program. Major content areas in the
class include using laws of exponents, operations using rational expressions, solving fractional equations, properties of
radicals, simplifying radicals, real and complex numbers, solving quadratic equations, graphing quadratic equations, direct
and inverse variation, operations involving polynomial equations, and solving polynomial equations.
Textbook:
Prerequisite:
Bellman, Allan E., Algebra 2. Prentice/Hall: Upper Saddle River, NJ
(2004 Edition).
MATH 401
Benchmark Code – Subject: Algebra II = AII
Strand 1: Matrices
Strand 2: Quadratic Equations and Functions
Strand 3: Polynomials and Polynomial Functions
Strand 4: Radical Functions and Rational Exponents
Strand 5: Exponential and Logarithmic Functions
Strand 6: Rational Functions
Strand 7: Sequences and Series
Subject.Grade.Strand#.Standard#. Benchmark#
Example: AII.10.1.1.3 – Algebra 2, Grade 10, Strand 1, Standard 1, Benchmark 3
Strand 1: Matrices
Standard 1: The student creates matrices to represent data, solves problems by using matrix logic,
performs operations with matrices, uses matrices to achieve transformations of geometric figures,
and uses matrices to solve systems of equations.
Benchmark Code
Benchmark
The student will use a graphing calculator to perform operations with
AII.10.1.1.1
matrices and find variables.
The student will perform scalar multiplication on a matrix and solve
AII.10.1.1.2
matrices for determinants and inverses.
Revised May 2012
The student will solve problems using matrix logic.
The student will add, subtract, and multiply matrices.
The student will evaluate the determinant of a 3 x 3 matrix.
The student will find the inverse of a 2 x 2 matrix.
The student will solve systems of linear equations by using inverse
matrices.
The student will solve systems of linear equations by using augmented
AII.10.1.1.8
matrices.
AII.10.1.1.9
The student will use a graphing calculator to solve systems of linear
equations.
Strand 2: Quadratic Equations and Functions
AII.10.1.1.3
AII.10.1.1.4
AII.10.1.1.5
AII.10.1.1.6
AII.10.1.1.7
Standard 1: The student graphs quadratic functions, solves quadratic equations, solves problems
using the guess-and-check strategy, and analyzes graphs of quadratic functions and inequalities.
Benchmark Code
Benchmark
AII.10.2.1.1
The student will use a graphing calculator to graph and solve quadratic
equations.
AII.10.2.1.2
The student will write functions in quadratic form, graph, and solve by
graphing.
AII.10.2.1.3
The student will solve problems by using the guess-and-check strategy.
AII.10.2.1.4
The student will solve quadratic equations by factoring, completing the
square, and by using the quadratic formula.
AII.10.2.1.5
The student will use discriminants to determine the nature of the roots of
quadratic equations.
AII.10.2.1.6
The student will find the sum and product of the roots of quadratic
equations.
AII.10.2.1.7
The student will find a quadratic equation to fit a given condition.
AII.10.2.1.8
The student will use a graphing calculator to graph and explore
similarities between parabolas.
AII.10.2.1.9
The student will determine the equation of a parabola by using points on
its graph.
AII.10.2.1.10
The student will use a graphing calculator to graph and solve quadratic
inequalities.
AII.10.2.1.11
The student will graph quadratic inequalities and solve inequalities in one
variable.
AII.10.2.1.12
The student will solve non-quadratic equations by using quadratic
techniques.
Strand 3: Polynomials and Polynomial Functions
Standard 1: The student simplifies expressions containing polynomials, factors polynomials; and
solves problems by identifying and achieving sub-goals, evaluates polynomial functions, and
identifies general shapes of the graphs of polynomial functions.
Benchmark Code
Benchmark
AII.10.3.1.1
The student will multiply and divide monomials.
AII.10.3.1.2
The student will represent numbers in scientific notation and multiply and
Revised May 2012
divide expressions written in scientific notation.
AII.10.3.1.3
The student will add, subtract, and multiply polynomials; divide using
long division.
AII.10.3.1.4
The student will divide polynomials by binomials using synthetic
division.
AII.10.3.1.5
The student will factor polynomials and simplify polynomial quotients by
factoring.
AII.10.3.1.6
The student will solve problems by identifying and achieving sub-goals.
AII.10.3.1.7
The student will evaluate polynomial functions and identify general
shapes of the graphs of polynomial functions.
AII.10.3.1.8
The student will find factors of polynomials by using the factor theorem
and synthetic division.
AII.10.3.1.9
The student will use a graphing calculator to graph polynomial functions
and approximate the real zeros of the functions.
AII.10.3.1.10
The student will find the number and type of zeros of a polynomial
function.
AII.10.3.1.11
The student will identify all possible rational zeros of a polynomial
function by using the rational zero theorem.
AII.10.3.1.12
The student will find zeros of polynomial functions.
AII.10.3.1.13
The student will solve non-quadratic equations.
AII.10.3.1.14
The student will find the composition of functions.
AII.10.3.1.15
The student will graph the iterations of a function.
Strand 4: Radical Functions and Rational Exponents
Standard 1: The student simplifies expressions containing radicals, complex numbers, or rational
exponents, and solves equations containing radicals.
Benchmark Code
Benchmark
AII.10.4.1.1
The student will simplify radicals having various indices.
AII.10.4.1.2
The student will use a calculator to estimate roots of numbers.
AII.10.4.1.3
The student will simplify radical expressions and add, subtract, multiply,
and divide radical expressions
AII.10.4.1.4
The student will rationalize the denominator of a fraction containing a
radical expression.
AII.10.4.1.5
The student will write expressions with radical exponents in simplest
radical form and vice versa.
AII.10.4.1.6
The student will evaluate expressions in either exponential or radical
form.
AII.10.4.1.7
The student will solve equations containing radicals.
AII.10.4.1.8
The student will simplify square roots containing negative radicands.
AII.10.4.1.9
The student will solve quadratic equations that have pure imaginary
solutions
AII.10.4.1.10
The student will add, subtract, and multiply complex numbers.
AII.10.4.1.11
The student will simplify rational expressions containing complex
numbers in the denominator.
Revised May 2012
AII.10.4.1.12
AII.10.4.1.13
AII.10.4.1.14
AII.10.4.1.15
The student will determine the inverse of a function or relation.
The student will graph functions and their inverses.
The student will work backward to solve problems.
The student will graph and analyze square root functions and graph
square root inequalities.
Strand 5: Exponential and Logarithmic Functions
Standard 1: The student simplifies expressions and solves equations involving real exponents, writes
exponential equations in logarithmic form and vice versa, evaluates expressions and solves equations
involving logarithms, finds common and natural logarithms and antilogarithms, and solves equations
with variable exponents by using logarithms.
Benchmark Code
Benchmark
AII.10.5.1.1
The student will use a graphing calculator to draw graphs of exponential
functions.
AII.10.5.1.2
The student will simplify expressions and solve equations and inequalities
involving real exponents.
AII.10.5.1.3
The student will use a graphing calculator to fit a curve to a scatter plot of
real-world data.
AII.10.5.1.4
The student will write exponential equations in logarithmic form and vice
versa.
AII.10.5.1.5
The student will evaluate logarithmic expressions.
AII.10.5.1.6
The student will solve equations and inequalities involving logarithmic
functions.
AII.10.5.1.7
The student will simplify and evaluate expressions using properties of
logarithms.
AII.10.5.1.8
The student will solve equations involving logarithms.
AII.10.5.1.9
The student will identify the characteristic and the mantissa of a
logarithm.
AII.10.5.1.10
The student will find common logarithms and antilogarithms.
AII.10.5.1.11
The student will find natural logarithms of numbers.
AII.10.5.1.12
The student will solve equations with variable exponents by using
logarithms.
AII.10.5.1.13
The student will use logarithms to solve problems involving growth and
decay.
Strand 6: Rational Functions
Standard 1: The student graphs rational functions, solve problems involving direct, inverse, and
joint variation, simplify rational expressions, solve rational equations and solve problems by
organizing data.
Benchmark Code
Benchmark
AII.10.6.1.1
The student will use a graphing calculator to explore graphs of rational
functions.
AII.10.6.1.2
The student will graph rational functions.
AII.10.6.1.3
The student will solve problems involving direct, inverse, and joint
variation.
Revised May 2012
AII.10.6.1.4
The student will simplify rational expressions. The student will simplify
complex fractions.
AII.10.6.1.5
The student will find the least common denominator of two or more
algebraic expressions.
AII.10.6.1.6
The student will add and subtract rational expressions.
AII.10.6.1.7
The student will solve rational equations inequalities.
Strand 7: Sequences and Series
Standard 1: The student is introduced to arithmetic and geometric sequences, and arithmetic and
geometric series.
Benchmark Code
Benchmark
AII.10.7.1.1
The student will identify and generate arithmetic sequences and
geometric sequences.
AII.10.7.1.2
The student will evaluate arithmetic series and geometric series.
AII.10.7.1.3
The student will use rectangles to approximate the area under a curve.
Revised May 2012